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12364642300 = 22521767108557
BaseRepresentation
bin10111000001111110…
…10111011111111100
31011220201020220112211
423200333113133330
5200310322023200
65402533110204
7615256503553
oct134077273774
934821226484
1012364642300
11527557784a
122490a88364
1312208765ba
1485421ad9a
154c579caba
hex2e0fd77fc

12364642300 has 72 divisors (see below), whose sum is σ = 28833873264. Its totient is φ = 4585405440.

The previous prime is 12364642229. The next prime is 12364642309. The reversal of 12364642300 is 324646321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364642309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59622 + ... + 168178.

It is an arithmetic number, because the mean of its divisors is an integer number (400470462).

Almost surely, 212364642300 is an apocalyptic number.

12364642300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12364642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416936632).

12364642300 is an abundant number, since it is smaller than the sum of its proper divisors (16469230964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12364642300 is a wasteful number, since it uses less digits than its factorization.

12364642300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108655 (or 108648 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 12364642300 in words is "twelve billion, three hundred sixty-four million, six hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 85 100 134 170 268 335 340 425 670 850 1139 1340 1675 1700 2278 3350 4556 5695 6700 11390 22780 28475 56950 108557 113900 217114 434228 542785 1085570 1845469 2171140 2713925 3690938 5427850 7273319 7381876 9227345 10855700 14546638 18454690 29093276 36366595 36909380 46136725 72733190 92273450 123646423 145466380 181832975 184546900 247292846 363665950 494585692 618232115 727331900 1236464230 2472928460 3091160575 6182321150 12364642300